Model theory applied to Generalized Polygons

We use the natural connection between model theory and generalized polygons and give some applications of one theory to the other. The first two applications are constructions of (infinite) polygons of whose groups of automorphisms acts highly transitive on the point rows and (ordered) (n+1)-gons. The third application is a prove that every generalized quadrangle with at most five points per line is finite.

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